Based on Triangle Angle Sum Theorem, the sum of the angles inside a triangle must equal 180°. Use the equation 2x + 4x + 6x = 180° to solve the measures of the angles in this triangle.
Combining like terms, the equation becomes 12x = 180°.
Dividing both sides by 12, we get x = 15°.
So, the angles in the triangle would be:
2x = 2(15) = 30°
4x = 4(15) = 60°
6x = 6(15) = 90°
Therefore, the measures of the angles in the triangle are 30°, 60°, and 90°.